Multivariate, Minimum-Curvature Splines for Randomly Spaced Data.

Abstract

This paper develops a collection of multivariate splines which are applicable to randomly spaced data. The splines are constructed from a linear combination of spline basis functions having evenly spaced nodes. A pseudoinverse solution of coefficients is obtained via a singular value decomposition (SVD). Spurious oscillations are damped by zeroing out an appropriate number of the singular values. A transformation is performed prior to entering the SVD so that, whenever the solution is nonunique, the 'minimum-curvature' solution is obtained. An added feature of these splines is an option through which a periodic fit may be produced in one or more dimensions if it is so desired. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1983
Accession Number
ADA132319

Entities

People

  • James R. Cloutier

Organizations

  • Naval Oceanographic Office

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Classification
  • Coefficients
  • Computer Simulations
  • Computers
  • Curvature
  • Decomposition
  • Equations
  • Grids
  • Gulf Stream
  • Identities
  • Image Reconstruction
  • Image Restoration
  • Intervals
  • Linear Systems
  • Sea Surface Temperature
  • Security
  • Surface Temperature

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Space Objects